Question

Solve the inequality for x.
7x-26<-5(2-3x)

Answer 1

`x > 2`

Explanation:

7x-26<-5(2-3x)

first write out the equation

7x-26<-10 +15x

then solve the -5(2-3x)

by multiplying -5 by 2 and -5 by 3x which will give the answer -10 and 15x

7x-15x<-10+26

Now put the numbers with X first and since we moved the (+15x) into the otherside we change its sign to (-15x)

and because we put the (-26) into the otherside we do the same thing and change it into (+26)

-8x<16

Now we combine the same numbers so 7x-15x and -10+26

Next we divide both sides by (-8)

so (-8x÷-8) and (16÷-8)

and because we divided with a negative number (-8)

and we have an inequality( < ) we flip the sign from smaller than to greater than.

and so the final answer is x>2

or x is greater than 2